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Finding the Third Proportional to 997,391 and 2,194,042

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Solution

The third proportional to 997,391 and 2,194,042 is: 4,826,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,391 : 2,194,042 = 2,194,042 : x
  2. Step 2: Convert to fraction form
    997,391/2,194,042 = 2,194,042/x
  3. Step 3: Cross multiply
    997,391x = 2,194,042 × 2,194,042
  4. Step 4: Simplify right side
    997,391x = 4,813,820,297,764
  5. Step 5: Solve for x
    x = 4,813,820,297,764/997,391
  6. Step 6: Final answer
    x = 4,826,412.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.